The question consists of two statements numbered "I and II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the present age of Amit? Statement I: The ratio of the present ages of Amit and his brother Sumit is 5:4. Statement II: Eight years hence, the ratio of the ages of Amit and Sumit will be 6:5.

Let the present ages of Amit and Sumit be '5x' years and '4x' years respectively. Statement I: Ratio of Amit's age to Sumit's age = 5 : 4. So, Amit's age = 5x. Since 'x' is unknown, data in statement I alone is not sufficient to answer the question. Statement II: After 8 years, the ratio of their ages will be 6 : 5. So, data in statement II alone is not sufficient to answer the question as the present ages are not defined. Combining Statement I and II: Amit's age after 8 years = 5x + 8. Sumit's age after 8 years = 4x + 8. ATQ, (5x + 8) / (4x + 8) = 6 / 5. Or, 5(5x + 8) = 6(4x + 8). Or, 25x + 40 = 24x + 48. Or, x = 8. So, Amit's present age = 5 × 8 = 40 years. So, data in both statements I and II together is necessary to answer the question. Hence, the correct answer is E.